Simultaneous equidistributing and non-dense points for non-commuting toral automorphisms
Keyword(s):
We show in prime dimension that for two non-commuting totally irreducible toral automorphisms the set of points that equidistribute under the first map but have non-dense orbit under the second has full Hausdorff dimension. In non-prime dimension the argument fails only if the automorphisms have strong algebraic relations.
Keyword(s):
2009 ◽
Vol 29
(3)
◽
pp. 919-940
◽
Keyword(s):
2018 ◽
Vol 61
(2)
◽
pp. 387-400
◽
2006 ◽
Vol 27
(01)
◽
pp. 65
◽
2014 ◽
Vol 156
(2)
◽
pp. 295-311
◽